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Virty [35]
3 years ago
15

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}

Mathematics
2 answers:
Tamiku [17]3 years ago
4 0
H(2)=x²=2²=4
G[H(2)]=G(4)=3(4)+2=12+2=14
F[G[H(2)]]=F(14)=2(14)-1=28-1=27

Answer: F[G[H(2)]]=27

earnstyle [38]3 years ago
3 0
F{G[H(2)]} = F{G[2*2]} = F{G[4]} = F{3*4+2} = F{14} = 2*14-1 = 27
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We are given the diameter of the sphere, but recall that the diameter is twice the radius: d=2r. So the radius is half of the diameter: r= \frac{1}{2}d.

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for <span>π.</span>

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3 years ago
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forsale [732]

Answer:

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Step-by-step explanation:

The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.

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translates to ...

  n < 18

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Step-by-step explanation:

Given g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0

To get g(x), we will have to integrate g'(x)

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0 = -1⁻¹ + C

C= 1

Substitute C = 1 into the function

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0 = -2⁻¹ + C

C= 2⁻¹

C =  1/2

Substitute C = 2 into the function

g(x) = -x⁻¹ + 1/2

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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